integral from 1/e to e of (ln(x))/x

Lösung

\int_{\frac{1}{e}}^{e} \frac{ln ( x )}{x} d x

0

Schritte zur Lösung

\int_{\frac{1}{e}}^{e} \frac{ln ( x )}{x} d x

Wende U-Substitution an

= \int_{- 1}^{1} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{- 1}^{1}

Berechne die Grenzen:

0

= 0

\int_{0}^{1} \frac{1}{t} d t

\int_{- \infty}^{1} 0 d x

\int_{0}^{2} \frac{2 t}{1 + t ^{2}} d t

\int_{- 2}^{3} (3 x^{2} - 4 x) d x

\int_{- 1}^{1} z d z